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Differential Equations: Theory, Technique, and Practice by George Simmons, Steven Krantz. McGraw-Hill NY. 2007. 1st Edition.
Nasser M. Abbasi
January 4, 2023
Compiled on January 4, 2023 at 3:53pm
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Chapter 1. What is a differential equation. Section 1.2 THE NATURE OF SOLUTIONS. Page 9
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Chapter 1. What is a differential equation. Section 1.3 SEPARABLE EQUATIONS. Page 12
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Chapter 1. What is a differential equation. Section 1.4 First Order Linear Equations. Page 15
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Chapter 1. What is a differential equation. Section 1.5. Exact Equations. Page 20
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Chapter 1. What is a differential equation. Section 1.7. Homogeneous Equations. Page 28
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Chapter 1. What is a differential equation. Section 1.8. Integrating Factors. Page 32
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Chapter 1. What is a differential equation. Section 1.9. Reduction of Order. Page 38
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Chapter 1. What is a differential equation. Problems for Review and Discovery. Page 53
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Chapter 2. Second-Order Linear Equations. Section 2.1. Linear Equations with Constant Coefficients. Page 62
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Chapter 2. Second-Order Linear Equations. Section 2.2. THE METHOD OF UNDETERMINED COEFFICIENTS. Page 67
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Chapter 2. Second-Order Linear Equations. Section 2.3. THE METHOD OF VARIATION OF PARAMETERS. Page 71
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Chapter 2. Second-Order Linear Equations. Section 2.4. THE USE OF A KNOWN SOLUTION TO FIND ANOTHER. Page 74
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Chapter 2. Section 2.7. HIGHER ORDER LINEAR EQUATIONS, COUPLED HARMONIC OSCILLATORS Page 98
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Chapter 2. Problems for Review and Discovery. Drill excercises. Page 105
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Chapter 2. Problems for Review and Discovery. Challenge excercises. Page 105
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Chapter 2. Problems for Review and Discovery. Problems for Discussion and Exploration. Page 105
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Chapter 4. Power Series Solutions and Special Functions. Section 4.2. Series Solutions of First-Order Differential Equations Page 162
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Chapter 4. Power Series Solutions and Special Functions. Section 4.3. Second-Order Linear Equations: Ordinary Points. Page 169
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Chapter 4. Power Series Solutions and Special Functions. Section 4.4. REGULAR SINGULAR POINTS. Page 175
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Chapter 4. Power Series Solutions and Special Functions. Section 4.5. More on Regular Singular Points. Page 183
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Chapter 4. Power Series Solutions and Special Functions. Section 4.6. Gauss’s Hypergeometric Equation. Page 187
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Chapter 4. Power Series Solutions and Special Functions. Problems for review and discovert. (A) Drill Exercises . Page 194
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Chapter 4. Power Series Solutions and Special Functions. Problems for review and discovert. (B) Challenge Problems . Page 194
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Chapter 7. Laplace Transforms. Section 7.5 The Unit Step and Impulse Functions. Page 303
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Chapter 7. Laplace Transforms. Section 7.5 Problesm for review and discovery. Section A, Drill exercises. Page 309
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Chapter 7. Laplace Transforms. Section 7.5 Problesm for review and discovery. Section B, Challenge Problems. Page 310
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Chapter 10. Systems of First-Order Equations. Section 10.2 Linear Systems. Page 380
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Chapter 10. Systems of First-Order Equations. Section 10.3 Homogeneous Linear Systems with Constant Coefficients. Page 387
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Chapter 10. Systems of First-Order Equations. Section A. Drill exercises. Page 400
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Chapter 10. Systems of First-Order Equations. Section B. Challenge Problems. Page 401